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A man is known to speak truth 2 out of 3 times. He throws a die and reports that number obtained is a four. Find the probability that the number obtained is actually a four.

Urn A contains six red and four black balls and urn B has four red and six black balls. One ball is drawn at random form urn A and placed in urn B. Then one ball is transfered at random form urn B to urn A. If one ball is now drawn at random from urn A, find the probability that is red. ?

The total number of students playing carrom and hockey together from school P is what percent of the total number of students playing these two games together from school R?

Second basket has exactly 2 balls

Q35. If $x^2+4y^2=4xy$, $then,x:yis$

The number of girls passing the exam from university B in the year 2006 is approximately what percentage of the number of boys passing the exam from university A in the year 2010?

If $f(x-1)=3x^2+5x+6$, find the value of f(x+1).

If the ratio of angles of a hexagon is 1:2:3:5:6:7, find the measure of smallest angle.

A four digit number is formed with the digits 1,3,4,5 without repetition. Find the chance that the number is divisible by 5:

In which of the following movies did Falguni act?

Which footballer is 2nd from the bottom in terms of goals scored?

In an exciting finish to a T - 20 cricket match between MI and RCB, the MIs require 10 runs in the last 3 balls to win. If any one of the scores 0, 1, 2, 3, 4, 6 can be made from a ball and no wides or no-balls are bowled then in how many different sequences can batsmen make exactly 10?

What is the remainder when p - q is divided by 100, if $p=2^{99}+4^{99}+6^{99}+8^{99}+.........+{100}^{99}$ and $q=1^{99}+3^{99}+5^{99}+7^{99}+..........+{99}^{99}?$

In triangle ABC, G is the centroid, AB = 15 cm, BC = 18 cm and AC = 25 cm. Find GD, where D is the mid - point of BC:

If the number of players who play other games is equal to number of female players who play Hockey. What is the ratio of number of male players in Hockey to players who are playing golf?

Let A${}_0$A${}_1$A${}_2$A${}_3$A${}_4$A${}_5$ be a regular hexagon inscribed in a circle of unit radius. Then the product of the lengths of the line segments A${}_0$A${}_1$, A${}_0$A${}_2$ and A${}_0$A${}_4$ is

Statements: N ≥ O ≥ P = Q > R

Conclusions:
I. N > R
II. R = N

PQR is a right angled triangle with PQ=8, QR=6, QT as altitude. If a circle is drawn with QT as diameter, what is the area of the shaded region?

In the given figure, P and Q are the mid-points of AC and AB. Also, PG = GR and HQ = HR. What is the ratio of area of $\Delta PQR$ : area of $\Delta ABC$ ?

Q58) Look at this series: 14, 28, 20, 40, 32, 64, ... What number should come next?

Find the next number in the sequence.

3, 8, 13, 24, 41, (?)

From a triangle ABC with sides of lengths 40 ft, 25 ft and 35 ft, a triangular portion GBC is cut off where G is the centroid of ABC. The area, in sq. ft of the remaining portion of triangle ABC is

Two towns are connected by railway. Can you find the distance between them?

I. The speed of the mail train is 12 km/hr more than that of an express train

II. A mail train takes 40 minutes less than an express train to cover the distance

A 60 litre solution of alcohol and water contains 20 litres of alcohol. How much alcohol must be added to produce a solution of 50% alcohol ?

The given question consists of a set of statements. Find out whether the data provided in the statements are sufficient to answer the question and mark the option:

Village D is in which direction in respect of village H?
I. Village H is to the South of village A, which is to the South-East of Village D
II. Village M is to the East of village D and to the North-East of Village H.

Q19. Two vessels A and B contain milk and water mixed in the ratio 4:3 and 2:3, respectively. In what ratio must these mixtures be mixed to form a new mixture containing half milk and half water?

A certain fan club has fans with varied tastes in sports. All those who enjoy basketball also enjoy cricket. Those who enjoy cricket despise tennis. Some of those who enjoy cricket also follow athletics. All those who enjoy tennis also enjoy badminton. Some of those who enjoy badminton also follow cricket. Some of those who enjoy athletics despise tennis. All those who enjoy badminton also enjoy volleyball.

Answer the following questions based on the above information

Q64. Vernie enjoys basketball. He must also be enjoying other sports except

By selling an article at 2/5 of the marked price, there is a loss of 25%. The ratio of the marked price and the cost price of the article is:

Bundle
$\begin{array}{cc}1]& \text{The new born baby was a bundle of joy for the family.}\\ 2]& \text{Moblie operators are offering a bundle of additional benefits.}\\ 3]& \text{He made a bundle in the share market.}\\ 4]& \text{It was sheer luck that brought a bundle of boy-scouts to where I was lying wounded.}\end{array}$

Directions: Answer the questions based on the information given below.
During the recent India- Australia bilateral 7 one-day international matches series Dhawan, Rohit and Kohli were in tremendous form and combinedly scored 7 centuries in these 7 games. Further, it is also known about their scores in the series:
1. In each game exactly one batsman scored a century.
2. Each of these three players scored at least one century and no two batsmen scored an equal number of centuries.
3. Rohit did not score a century in the 2nd game and Kohli scored a century in the last game.
4. Dhawan did not score a century in the 1st and 4th game.
5 The player who scored a century in the 2nd game did not score a century in the 5th game.
6. The player who scored a century in the 4th game also scored a century in the 6th game.
7. The player who scored a century in the 3rd game did not score a century in the 1st game.
If Kohli scored a century in the 2nd game but failed to score a century in the 4th game and his highest score in the games was 125, then what could be the maximum possible runs scored by Kohli in the series?___.

3x${}^2$ + 8x + 4 = 0

4y${}^2$ - 19y + 12 = 0

The sum of p consecutive positive integers is 45. What is the value of p?

(1) p is even.
(2) $p<9$.

To pass to the next level (Batch A) in a school's sports team, students in the intermediate batch (Batch B) at Premier High School have to pass both a written and a practical test. Everyone has to take the tests, and no one failed both tests. If 30% of the students of Batch B who passed the written test did not pass the practical, how many Batch B students at Premier High School go to Batch A? (1) There are 188 Batch B students at Premier High School. (2) 20% of the Batch B students who passed the practical test failed the written test.

Let f(x) = 2x-5 and g(x) = 7-2x, Then $\left|f\right(x)+g(x\left)\right|=\left|f\right(x\left)\right|+\left|g\right(x\left)\right|$ if and only if

Fresco has doubled its turnover in 2000 from 5 crores in 1999, tripled its turnover in 2001 and grew by$50\%$in 2002. What is the turnover at the end of 2002?

Nonprofit organizations depend on two resources to fulfill their missions. One, of course, is money.The other resource - just as vital but perhaps even more scarce - is leadership. Indeed, qualified leadership candidates may be even rarer than six-figure donors.

The remainder when 786786 is divided by 7 is